20130910, 02:53  #12  
Jun 2003
Ottawa, Canada
3·17·23 Posts 
Quote:
Jeff. 

20130910, 08:19  #13 
Feb 2004
France
3×311 Posts 
Congratulations !
Waowwww ! Two new Wagstaff PRPs !!
That's tremendous, wonderful, extraordinary, etc. I'm missing (english) words ! The sad side of this nice story is that my own Wagstaff PRP now looks quite small... Moreover, Diep, Jeff, and Paul spent a lot of time looking for such a Wagstaff PRP with no luck up to now. I hope that they will have some success some day. They deserve it. So, now we need someone to provide a proof of VrbaReix conjecture ! so that PRPs become true primes ! I hope to see that before I die. Some years ago, I promissed 100€ for such a proof. Now, I would give 200€. Anyone to contribute and add some € or $ to build a reward ? On my side, I'm now making photographs: http://500px.com/Tony_Reix www.tonyfcr.book.fr/ that's fun too ! Regards Tony 
20130910, 18:11  #14 
Bemusing Prompter
"Danny"
Dec 2002
California
2495_{10} Posts 
It looks like Ryan holds the current record for the ECM largest factor and the largest Wagstaff PRP. Really impressive, to say the least. Now all he's missing is a new Mersenne prime. xD
Also, welcome back, Tony! Last fiddled with by ixfd64 on 20130910 at 18:14 
20130910, 18:17  #15 
Einyen
Dec 2003
Denmark
2·3^{2}·191 Posts 
2nd exponent in Prime95:
2^13372531+1/3 is a probable prime! We4: E3ACC173,00000000 
20130910, 18:57  #16 
Sep 2002
Database er0rr
1000110001111_{2} Posts 
Serge should be giving some PRP results soon.
I have started a GMP implementation of my test for the new Wagstaffs on a Q6600: (L+2)^(N+1)==5 (mod N, L^2+1) It will take a few weeks 
20130910, 19:08  #17 
"Dana Jacobsen"
Feb 2011
Bangkok, TH
1110001101_{2} Posts 
Sounds like a race, Paul. I started my machine on SPSP2, ES Lucas, and your Frobenius test yesterday for both numbers. As you say, it will take a long time as they're generic tests using GMP.

20130910, 19:15  #18 
Sep 2002
Database er0rr
5×29×31 Posts 
I have a special version that calculates modulo 2^p+1  so no generic modulo.

20130910, 21:44  #19  
Einyen
Dec 2003
Denmark
D6E_{16} Posts 
Quote:
2^p = 1 (mod 2^p+1) => 2^p = 1 (mod (2^p+1)/3) 

20130911, 04:18  #20 
"Dana Jacobsen"
Feb 2011
Bangkok, TH
1110001101_{2} Posts 
That is my understanding and I debated whether to start them or not, but I thought it wouldn't hurt and since it should finish first, will give me some idea of when the Lucas and Frobenius tests will be done. It'll be a long wait...

20130911, 16:31  #21 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
10060_{10} Posts 
Code:
(2^13347311+1)/3 is Base 27  Strong Fermat PRP! Time : 132008.336 sec. (2^13347311+1)/3 is VrbaReix PRP! Time : 131975.246 sec. (2^13372531+1)/3 is Base 27  Strong Fermat PRP! Time : 132322.407 sec. (2^13372531+1)/3 is VrbaReix PRP! Time : 132513.794 sec. (2^13347311+1)/3 is 5PRP! (229303.3908s+398.4266s) (2^13347311+1)/3 is 7PRP! (277072.1587s+419.3222s) (2^13347311+1)/3 is 11PRP! (291376.7357s+419.8591s) (2^13347311+1)/3 is 13PRP! (291281.3062s+418.0968s) (2^13347311+1)/3 is 17PRP! (278100.7506s+382.4561s) (2^13372531+1)/3 is 5PRP! (249353.0860s+421.2026s) (2^13372531+1)/3 is 7PRP! (229612.6239s+399.1560s) (2^13372531+1)/3 is 11PRP! (230611.3771s+399.9541s) (2^13372531+1)/3 is 13PRP! (231212.1002s+401.6447s) (2^13372531+1)/3 is 17PRP! (230925.5544s+399.9358s) # tests for false positives below  (2^13372309+1)/3 is not prime. RES64: 991A9DB47059EE26. OLD64: D0794CB28426C889 Time : 132114.403 sec. (2^13372309+1)/3 is not prime. VrbaReix RES64: FE684FD81D62F060 Time : 132268.574 sec. # b5 (2^13372309+1)/3 is composite: RES64: [E9EDD6FC780DA64D] (225266.1438s+403.6897s) # b3 (2^13372309+1)/3 is composite: RES64: [FA860AF0EE31F99B] (230901.3211s+404.2113s) # b2 (2^13372309+1)/3 is 2PRP! (225516.2154s+403.9142s) Last fiddled with by Batalov on 20130915 at 00:06 Reason: (all queued PFGW tests finished) 
20130919, 22:58  #22  
Einyen
Dec 2003
Denmark
6556_{8} Posts 
Quote:
Last fiddled with by ATH on 20130919 at 22:59 

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